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Finding the Third Proportional to 103,928 and 224,464

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Solution

The third proportional to 103,928 and 224,464 is: 484,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,928 : 224,464 = 224,464 : x
  2. Step 2: Convert to fraction form
    103,928/224,464 = 224,464/x
  3. Step 3: Cross multiply
    103,928x = 224,464 × 224,464
  4. Step 4: Simplify right side
    103,928x = 50,384,087,296
  5. Step 5: Solve for x
    x = 50,384,087,296/103,928
  6. Step 6: Final answer
    x = 484,798.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.